SOLUTION: One number is 1 more than 2 times another. Their product is 7 more than 3 times their sum. Find the numbers. Answer in the form of paired points with the lowest of the two integers

Question 802170: One number is 1 more than 2 times another. Their product is 7 more than 3 times their sum. Find the numbers. Answer in the form of paired points with the lowest of the two integers first.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The only tough part is in translating into symbols. The arithmetic steps from there are simple.

x and y, the two numbers.
.__________________ .

Simplest path appears to be, substitute for y into the second equation, and solve for x. Use the result to find the value for y. You will get a quadratic equation when you do the first substitution.

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